Function Spaces, Interpolation Theory and Related Topics

Function Spaces, Interpolation Theory and Related Topics

Author: Michael Cwikel

Publisher: Walter de Gruyter

Published: 2008-08-22

Total Pages: 473

ISBN-13: 3110198053

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This volume contains 16 refereed research articles on function spaces, interpolation theory and related fields. Topics covered: theory of function spaces, Hankel-type and related operators, analysis on bounded symmetric domains, partial differential equations, Green functions, special functions, homogenization theory, Sobolev embeddings, Coxeter groups, spectral theory and wavelets. The book will be of interest to both researchers and graduate students working in interpolation theory, function spaces and operators, partial differential equations and analysis on bounded symmetric domains.


Integral Equations, Boundary Value Problems And Related Problems

Integral Equations, Boundary Value Problems And Related Problems

Author: Xing Li

Publisher: World Scientific

Published: 2013-03-07

Total Pages: 298

ISBN-13: 9814452890

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In this volume, we report new results about various theories and methods of integral equation, boundary value problems for partial differential equations and functional equations, and integral operators including singular integral equations, applications of boundary value problems and integral equations to mechanics and physics, numerical methods of integral equations and boundary value problems, theories and methods for inverse problems of mathematical physics, Clifford analysis and related problems.


Getting Acquainted with Homogenization and Multiscale

Getting Acquainted with Homogenization and Multiscale

Author: Leonid Berlyand

Publisher: Springer

Published: 2018-11-22

Total Pages: 187

ISBN-13: 303001777X

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The objective of this book is to navigate beginning graduate students in mathematics and engineering through a mature field of multiscale problems in homogenization theory and to provide an idea of its broad scope. An overview of a wide spectrum of homogenization techniques ranging from classical two-scale asymptotic expansions to Gamma convergence and the rapidly developing field of stochastic homogenization is presented. The mathematical proofs and definitions are supplemented with intuitive explanations and figures to make them easier to follow. A blend of mathematics and examples from materials science and engineering is designed to teach a mixed audience of mathematical and non-mathematical students.


Integral Equations And Boundary Value Problems - Proceedings Of The International Conference

Integral Equations And Boundary Value Problems - Proceedings Of The International Conference

Author: Guo Chun Wen

Publisher: #N/A

Published: 1991-03-15

Total Pages: 304

ISBN-13: 9814569534

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The proceedings covers the following topics: Boundary value problems of partial differential equations including free boundary problems; Theory and methods of integral equations including singular integral equations; Applications of integral equations and boundary value problems to mechanics and physics; and numerical methods for integral equations and boundary value problems.


Shape Optimization, Homogenization and Optimal Control

Shape Optimization, Homogenization and Optimal Control

Author: Volker Schulz

Publisher: Springer

Published: 2018-09-05

Total Pages: 276

ISBN-13: 3319904698

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The contributions in this volume give an insight into current research activities in Shape Optimization, Homogenization and Optimal Control performed in Africa, Germany and internationally. Seeds for collaboration can be found in the first four papers in the field of homogenization. Modelling and optimal control in partial differential equations is the topic of the next six papers, again mixed from Africa and Germany. Finally, new results in the field of shape optimization are discussed in the final international three papers. This workshop, held at the AIMS Center Senegal, March 13-16, 2017, has been supported by the Deutsche Forschungsgemeinschaft (DFG) and by the African Institute for Mathematical Sciences (AIMS) in Senegal, which is one of six centres of a pan-African network of centres of excellence for postgraduate education, research and outreach in mathematical sciences.